Algebra
Calculus
Trigonometry
Matrix
Question
Function
Find the first partial derivative with respect to x
Find the first partial derivative with respect to a
∂x∂y=2xa
Simplify
y=x2a
Find the first partial derivative by treating the variable a as a constant and differentiating with respect to x
∂x∂y=∂x∂(x2a)
Use differentiation rule ∂x∂(cf(x))=c×∂x∂(f(x))
∂x∂y=a×∂x∂(x2)
Use ∂x∂xn=nxn−1 to find derivative
∂x∂y=a×2x
Solution
∂x∂y=2xa
Show Solution
Solve the equation
Solve for x
Solve for a
Solve for y
x=∣a∣ayx=−∣a∣ay
Evaluate
y=x2a
Rewrite the expression
y=ax2
Swap the sides of the equation
ax2=y
Divide both sides
aax2=ay
Divide the numbers
x2=ay
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±ay
Simplify the expression
More Steps
Evaluate
ay
Rewrite the expression
a×aya
Use the commutative property to reorder the terms
a×aay
Calculate
a2ay
To take a root of a fraction,take the root of the numerator and denominator separately
a2ay
Simplify the radical expression
∣a∣ay
x=±∣a∣ay
Solution
x=∣a∣ayx=−∣a∣ay
Show Solution